Similarity and Dimensional Methods in Mechanics

Organized into five chapters, this book begins with an overview of the fundamental ideas behind similarity and dimensional methods. This text then provides a series of examples of application of the methods.

Author: L. I. Sedov

Publisher: Academic Press

ISBN: 9781483225913

Category: Science

Page: 380

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Similarity and Dimensional Methods in Mechanics provides a complete development of the basic concepts of dimensional analysis and similarity methods, illustrated by applications to a wide variety of problems in mechanics. This book shows the power of dimensional and similarity methods in solving problems in the theory of explosions and astrophysics. Organized into five chapters, this book begins with an overview of the fundamental ideas behind similarity and dimensional methods. This text then provides a series of examples of application of the methods. Other chapters consider the use of similarity and dimensional analysis in developing fundamental contributions to viscous fluid theory. This book discusses as well the various theories of isotropic turbulence. The final chapter deals with the applications to the theory of the luminosity and internal structure of stars. This book is a valuable resource for students who wish to learn dimensional analysis and similarity methods for the first time. Readers who are connected with the many aspects of gas dynamics, including space technology, astrophysics, and atomic energy will also find this book useful.

Similarity and Dimensional Methods in Mechanics Tenth Edition

Similiarity and Dimensional Methods in Mechanics, 10th Edition is an English language translation of this classic volume examining the general theory of dimensions of physical quantities, the theory of mechanical and physical similarity, ...

Author: L. I. Sedov

Publisher: CRC Press

ISBN: 0849393086

Category: Science

Page: 496

View: 476

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Similiarity and Dimensional Methods in Mechanics, 10th Edition is an English language translation of this classic volume examining the general theory of dimensions of physical quantities, the theory of mechanical and physical similarity, and the theory of modeling. Several examples illustrate the use of the theories of similarity and dimensions for establishing fundamental mechanical regularities in aviation, explosions, and astrophysics, as well as in the hydrodynamics of ships. Other interesting areas covered include the general theory of automodel motions of continuum media, the theory of propagation of explosion waves in gases, the theory of one-dimensional nonestablished motion in gases, the fundamentals of the gas-dynamics theory of atom-bomb explosion in the atmosphere and the theory of averaging of gaseous flows in channels. Aspects of modeling include the dimensionless characteristics of compressor operation, the theories of engine thrust, and efficiency of an ideal propeller for subsonic and supersonic speeds. Similiarity and Dimensional Methods in Mechanics, 10th Edition is an ideal volume for researchers and students involved in physics and mechanics.

Similarity and Dimensional Methods in Mechanics

The practical and theoretical value and strength of these methods are being increasingly recognized by research workers to counterbalance the recently popular opinion that the methods of dimensional and similarity theory are of minor ...

Author: L. I. Sedov

Publisher: CRC Press

ISBN: 9781351416566

Category: Science

Page: 496

View: 167

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Similiarity and Dimensional Methods in Mechanics, 10th Edition is an English language translation of this classic volume examining the general theory of dimensions of physical quantities, the theory of mechanical and physical similarity, and the theory of modeling. Several examples illustrate the use of the theories of similarity and dimensions for establishing fundamental mechanical regularities in aviation, explosions, and astrophysics, as well as in the hydrodynamics of ships. Other interesting areas covered include the general theory of automodel motions of continuum media, the theory of propagation of explosion waves in gases, the theory of one-dimensional nonestablished motion in gases, the fundamentals of the gas-dynamics theory of atom-bomb explosion in the atmosphere and the theory of averaging of gaseous flows in channels. Aspects of modeling include the dimensionless characteristics of compressor operation, the theories of engine thrust, and efficiency of an ideal propeller for subsonic and supersonic speeds. Similiarity and Dimensional Methods in Mechanics, 10th Edition is an ideal volume for researchers and students involved in physics and mechanics.

Similarity and Dimensional Methods in Mechanics

A detailed description and solution of this problem using dimensional reasoning is contained in this book . ... Z. Math . Phys . 60 , 397 . REFERENCES TO CHAPTER IV a 6 Bam - Zelikovich , 356 SIMILARITY AND DIMENSIONAL METHODS IN MECHANICS.

Author: Леонид Иванович Седов

Publisher:

ISBN: UCSD:31822012648416

Category: Dimensional analysis

Page: 363

View: 782

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Fluid Mechanics

Sedov, L. I.: Similarity and Dimensional Methods in Mechanics.NewYork: Academic Press, 1959 41. Shapiro, A. H.: The Dynamics and Thermodynamics of Compressible Fluid Flow. New York: The Ronald Press Company, 1953 2 Vol. 42.

Author: Joseph Spurk

Publisher: Springer Science & Business Media

ISBN: 9783540735366

Category: Technology & Engineering

Page: 531

View: 886

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This successful textbook emphasizes the unified nature of all the disciplines of Fluid Mechanics as they emerge from the general principles of continuum mechanics. The different branches of Fluid Mechanics, always originating from simplifying assumptions, are developed according to the basic rule: from the general to the specific. The first part of the book contains a concise but readable introduction into kinematics and the formulation of the laws of mechanics and thermodynamics. The second part consists of the methodical application of these principles to technology. In addition, sections about thin-film flow and flow through porous media are included.

Fluid Mechanics of the Atmosphere

3.2 Dimensional Analysis The process of nondimensionalization involves dividing each variable that occurs in a ... It reveals generalizing methods for the analysis of the equations in a process to be discussed later as “similarity.

Author: Robert A. Brown

Publisher: Academic Press

ISBN: 0080917119

Category: Science

Page: 512

View: 524

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Fluid Mechanics of the Atmosphere presents the fundamental equations which govern most of the flow problems studied by atmospheric scientists. The equations are derived in a systematic way that is intended to facilitate critical evaluation. The goal of this text is twofold. First the book supplies the student a background familiarity in the underlying physics behind the mathematics. Second it explores some systematic methods of relating these physics to atmospheric problems, including rotating frames of reference effects, vorticity dynamics, and turbulence effects on closure. Stresses vorticity, principles of scaling, and turbulence Extensively illustrated Includes end-of-chapter summaries and problem sets Classroom tested for five years